Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.6 Powers Instead of Exponentials, #7 · Calculus · Applications of derivatives

With the slow method multiply out the three terms of … and…

With the slow method multiply out the three terms of $(1 - \frac{1}{2})^{2}$ and the five terms of $(1 - \frac{1}{4})^{4}$ . What are the first three terms of $(1 - 1/ n)^{n}$ , and what are their limits as $n \to \infty$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.6 Powers Instead of Exponentials, #7

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